What is the 8802nd prime number?
The 8802nd prime number is 90997. The next prime is 91009 (a gap of 12) and the one before is 90989.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 8802nd one is 90997.
- 2
90997 is prime because no prime up to ā90997 ā 301.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8802nd prime is close to 8802 Ć ln(8802) ā 79946, and here it is 90997.
- 4
90997 has no twin: neither 90995 nor 90999 is prime.
Primes around the 8802nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8799 | 90971 | 24 |
| 8800 | 90977 | 6 |
| 8801 | 90989 | 12 |
| 8802 | 90997 | 8 |
| 8803 | 91009 | 12 |
| 8804 | 91019 | 10 |
| 8805 | 91033 | 14 |
Questions
What is the 8802nd prime number?
90997.
Which prime number is 90997?
90997 is the 8802nd prime number.
What is the sum of the first 8802 primes?
378,979,097.